Publication Details

A closure operator for the digital plane

ŠLAPAL Josef. A closure operator for the digital plane. FILOMAT, vol. 34, no. 10, 2020, pp. 3229-3237. ISSN 0354-5180. Available from: http://journal.pmf.ni.ac.rs/filomat/index.php/filomat/article/view/12105
Czech title
Uzávěrová operace pro digitální rovinu
Type
journal article
Language
english
Authors
Šlapal Josef, prof. RNDr., CSc. (RCIT FIT BUT)
URL
Keywords

Digital plane, closure operator, connectedness, Jordan curve theorem, Khalimsky topology.

Abstract

We introduce and study a closure operator on the digital plane $\mathbb Z^2$. The closure operator is shown to provide connectedness that allows for a digital analogue of the Jordan curve theorem. This enables using the closure operator for structuring the digital plane in order to study and process digital images.

Published
2020
Pages
3229-3237
Journal
FILOMAT, vol. 34, no. 10, ISSN 0354-5180
Publisher
University of Niš
DOI
10.2298/FIL2010229S
UT WoS
000610073500005
EID Scopus
2-s2.0-85100780379
BibTeX 
@ARTICLE{FITPUB12326,
   author = "Josef \v{S}lapal",
   title = "A closure operator for the digital plane",
   pages = "3229--3237",
   journal = "FILOMAT",
   volume = 34,
   number = 10,
   year = 2020,
   ISSN = "0354-5180",
   doi = "10.2298/FIL2010229S",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/12326"
}
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